Multigrid preconditioning of linear systems for semi-smooth Newton methods applied to optimization problems constrained by smoothing operators

DOI10.1080/10556788.2013.854356zbMath1308.65104arXiv1106.0090OpenAlexW1567357472MaRDI QIDQ2926054

Andrei Drăgănescu

Publication date: 29 October 2014

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0090

zbMATH Keywords

optimal controllarge-scale optimizationpreconditioningmultigridnumerical resultsemi-smooth Newton methodsoptimization with PDE constraints

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Newton-type methods (49M15) Existence theories for optimal control problems involving partial differential equations (49J20) Discrete approximations in optimal control (49M25) Preconditioners for iterative methods (65F08)

Related Items

Multidimensional sum-up rounding for integer programming in optimal experimental design ⋮ Optimal-Order Preconditioners for Linear Systems Arising in the Semismooth Newton Solution of a Class of Control-Constrained Problems ⋮ Multigrid Preconditioners for the Newton--Krylov Method in the Optimal Control of the Stationary Navier--Stokes Equations

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